{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Understanding Regression.ipynb",
      "provenance": [],
      "authorship_tag": "ABX9TyNgYFMTW02kpdvIcR2PZndg"
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4YvPQkHLkt1r"
      },
      "source": [
        "## 1. Import Libraries."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "h8mUnVl0kj2r"
      },
      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt"
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AMhBBhhDmnKy"
      },
      "source": [
        "## 2. Create a Function that helps create Data. \n",
        "\n",
        "> $ y = 2 x -3 $"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "g2EBHsXmmfU2"
      },
      "source": [
        "def datamaker(N=100, err=1.0):\n",
        "\n",
        "  x = np.linspace(-1,1,N)\n",
        "\n",
        "  y = 2*x - 3\n",
        "\n",
        "  y = y + err*np.random.randn(N)\n",
        "\n",
        "  return x , y"
      ],
      "execution_count": 53,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 447
        },
        "id": "yX2se99Qnnn6",
        "outputId": "69080d69-98c7-439e-8037-e1eedc20b5eb"
      },
      "source": [
        "X_train , y_train = datamaker(500,0.2)\n",
        "\n",
        "#Important. \n",
        "X_train = X_train[:,np.newaxis]\n",
        "\n",
        "plt.scatter(X_train, y_train)"
      ],
      "execution_count": 56,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.collections.PathCollection at 0x7fe5d10dea50>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 56
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "JtTX4uOSuYlu"
      },
      "source": [
        "## 3. Machine Learning (Training) Part."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5BYldXPVnsaO"
      },
      "source": [
        "from sklearn.linear_model import LinearRegression"
      ],
      "execution_count": 57,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "sojyyr0do0lZ",
        "outputId": "505410f8-b4a7-4cb8-8b03-9bcbe5bb9258"
      },
      "source": [
        "model = LinearRegression()\n",
        "\n",
        "model.fit(X_train, y_train, )"
      ],
      "execution_count": 37,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=None, normalize=False)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 37
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "oyDbNBYzrx5t"
      },
      "source": [
        "# X_train"
      ],
      "execution_count": 33,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 470
        },
        "id": "Wg0ckncAo4kW",
        "outputId": "a7500713-b700-4992-a146-35530dde06d8"
      },
      "source": [
        "plt.style.use('default')\n",
        "\n",
        "plt.scatter(X_train,y_train)\n",
        "plt.plot(X_train , model.predict(X_train) , c='r', lw=2)\n",
        "\n",
        "plt.title('Training Performance')"
      ],
      "execution_count": 42,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Training Performance')"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 42
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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pNTCezvaY+/xjFa6PCAMRIiKiSkilFjBlyz+SghAXpQInpwbDwa7iPQhhIEJERFQJFG/ZfvJassGeIcVl5qpw5kYqOgd42/gqzcdAhIiIqIKLjE7AzO0XdUp0zc3yqEglu9oYiBAREVVghvJAzO2NWpFKdrUxECEiIqqgNB1TS9OQXQbAt4KV7GqreFkrREREBMD8jqmGVLSSXW02WxH59NNPERERgaioKDg4OCAtLc1Wb0VERFQlFE9ITcwoXRDi5+6IGQMCK1zJrjabBSJ5eXl48cUX0blzZ6xatcpWb0NERFQl6EtI9XKxt3i+8OCmGNeraYVdCdGwWSAyc+ZMAMDatWtt9RZERERVgqGE1JRMaeW52irDKoi2CpWsmpubi9zcXPHnjIyMcrwaIiIi25OakCqD6UoZs1dBjh4FatUCmjaVdrwNVKhk1blz58Ld3V38U79+/fK+JCIiIpuSmpDq4Wz8MY0MwKbTt6S9aU4O8N57QNeuwNChgEol7TwbMCsQmTJlCmQymdE/ly9ftvhiPvjgA6Snp4t/bt2S+IUSERFVUlIbjf2vQwOjrwsAEtJzcCouxfhEf/0FtG0LfP45IAjA8ePAunUSr9b6zHo0M3HiRISFhRk9pnHjxhZfjFKphFIpfStjIiKiyk5qozGZTNrjFkOBjSonFwmTP0Sd5Ysh16yAODgAs2cDr70maW5bMCsQ8fHxgY+Pj62uhYiIqEorXp7btqEnTlxLNnmen7sjOgd4Y+nBGJPHFg9sVGoBG1dFoN30CXg0MVYcv+TXBElLVqLboF7mfxArslmy6s2bN5GSkoKbN29CpVIhKioKANCkSRPUqFHDVm9LRERUIRnaL0ZK19RpoYHo1Ngbfu6OSEzP0XuOvg6qu6Nu4d9JM/DWwXVwUBcAAPLlCizt/DKWdX4JBaez0fv+KbzRNQAd/L3KpdTXZoHI9OnT8f3334s/P/744wCAgwcPokePHrZ6WyIiogqntPvFeLo4QCGXYcaAQIxef7ZEAKMJH7Q7qP75+2HUfmsk+iZcEY/7t2YDvBv6Li74NhHH9l9Owv7LSeVW9isTBKE0LextKiMjA+7u7khPT4ebm1t5Xw4REZHZVGoBT84/UKpW7a93boh+QX7o4O+F3dGJ+GhbNFIy88TXdYIItRrqxYuR//4HUBYUHqOSybGy4/NY3OVV5Nnpr77RBDPLh7QpdTBizv27QvURISIiqmqssV/MD8dv4IfjN8QS3rSsokZnXi72mBbavDB4uHYNGDYM8sOHoSn9uOZZB5NCw3G2bnOj7yGgMBiZuf0i+gT6ltljmgrVR4SIiKiqkVqeK0VaVr5OEAIUdl8d8+NZXJg+H2jZEjh8WHxtdduB6D/sK5NBiIbkEmAr4ooIERGRDUktz7WUX0YS5u/6Ci2unxPHcuo1QFjXt3CiQUuL5rRm8GQKV0SIiIhsqIO/F/zcHWH1Bx2CgBf+2Yfdq8aim1YQglGj8MfPe3GqoWVBCGD74EkbAxEiIiIb0lS7ALBaMOLzIBXfbpmNBTsXwy0vCwCQUMMbY4Z8gp1jP8Zb265CbUEpigyFia/aJcC2xkczRERUpRRvGqavP4aUY6wpJMgPy4e0KdFHxBJPXzqM2XuWwzPnvjj2a1AvzOw9ChmONXBiW7TksmBt+kqAywIDESIiqjL0NQ0r3h9DyjHGWBrEhAT5oU+gr3juvfu5mB1xSfJn88xKx+y9K/D05T/FsSRnD0wNGYe9TTuJY9plvQavpUVtnLqeqnOsL/uIlMQ+IkREJJWhpmHa/TEAmDzG2I3YVBBjTpCyLSoe4zdFSfpswVdPYm7kEvhkpYljO5o9iWlPjUaqs7ukObR5ONljznNB8HRR2mRVyJz7NwMRIiKq9Ew1DZMBqO2mBCBDYobhY3zdHXHk/V56b8imAp1R3fzx+98JkldajscmY/C3J4x+LrecB5ix/xsMij4gjqU6umLaU6Oxo3k3o+eaIoN1mpfpY879m8mqRERU6ZlqGiYASMzINRiEaI4x1ENDpRYwc/tFvbkXwsM/Kw/HlbiGxPQcjF5/FpHRCSXOM1VN0+3aGexeNVYnCNkX0B5PjVhW6iBEY+b2i1BZktVqRQxEiIio0rNm3wt9c1naHVUTpHz8+4USN3xD1TQuuVn4dPdS/PDLDPg9KNyZN8PBGZP6T8Abg6Yjzc3b7OswdG1l3bxMHwYiRERU6Vmz74W+uUob6CRm5OKr/VdLjGuqadwftm7vePMf7FrzNl6NihSP+bNha/QdsQybHwsGZDLkW3kFIzE926rzmYtVM0REVOlpHnMkpufofXyinSNyJ8PwMb5aPTS0E0/v3c8t9TV+uf8qcvIL8EH/QJ3xPoG+mLv5LN7Z9w2Gn/ldHM+0d8TcnsOxvnU/QGa7ctrZEZfg5KAo82oZDQYiRERUJbzSvgEW7btSYlxzC/94YAsAhVUzMkAnGCneQ0NfdYxcBouahGlbeTgOrep5on/Lopv+xS17sHrJmwhIiRfHTtZrgcn9J+Cmp+2Dg9TMPIxef9ZmiaumMBAhIqJKTV/QoK14fwx9jcW0jzFUHWOtJyITf4mCq6MdnqjvCsWsmQj67DPI1GoAQK7CHp91ex1r2g2EWq6wzhuaUF677mqwfJeIiCotQ0GDRnhwU4zr1VRyZ1VTZcCAdVZGWiTGYNHOxXgk6bo4FuX3CCaGhiPWu37pJi+FjSM7oXNA6ZNhzbl/c0WEiIgqJWMltUDhb/mbTt/CuF5NS7ymkMv03nClVMeoBWBaaHN4uThgdsQlpGbmSW6pbqcqwJgTv+DtY5tgr1YBAPLldljRcwi+bPMcCspoFcSQstx1V4OBCBERVUpSeodoylOl/pYv9UZc01WJZ1rXhZODQm/OiT5Nk25g4c5FaJkYI45drOWPiaHhuFSrMQBImseWynLXXQ2W7xIRUaUkNWj44XgctkXF43hsssnmXVJvxFfvPMDx2GT0CfTF8iFt4Otu+Dy5WoU3T27Gju/Hi0FIgUyOrzq/jGde/0IMQjyc7VHbTXceZwfpKyReLg6Sjy2uPHbd1eCKCBERVUpSg4Zd0XewK/oOANOb23Xw94KHsz3SsvKNzrn0YAyWHowR5zvyfi8x52TvxTvYcb6wk2qjlHgsjFiEtrcvi+de9a6PiaHhOO/3iM6caVn5+HFEG8jlMp3cld3RCRi38ZzBvBRN2fEfk3vizI1U8dzUzDzMjjC922957borvj+TVYmIqDKSklhanKnN7SKjE/DW+rNmX4t2UqxKLaDdrN0YeHQrphxaC6eCwh4kasjwbYfn8EXXIci10796Ma5nAML7NCsREOw8n4AxG0pel6nPUzwpV19wYs7Ow1Jx0zsiIqoWLAkcDG1uZ0lgo83XzREfDwxEreRE5Lwehidunhdfu+7hh0mhE/BXvRYm5zEUGJja+Vcqc3YIthQDESIiqjZmb7+AVUevm31e8VJVKbvhGiUIePn8Hsw6tArKnCxx+Ps2oZjXfRiyHaQ9SjK2ylEWQYQ1sHyXiIiqjeBAX4sCkeLJrqUpXa19/x7mRS5Bz2tnxLH/3HzwXr/xONaotVlzGWswZqjsuDJjIEJEROXGGr/hm9pnxpDiya4Wla4KAp69eAgz966Ae26mOLyp5VP4pNcbeKB0Nn9OWFZ6XFkxECEionJhrZwHhVyGGQMCJffzKL65nYa5AY13Zho+3bMMIVeOi2N3anhhSsjbOBjQXvL1G1MeDcbKGvuIEBFRmdO0Zi+eGJqYnoPR688iMjpBHFOpBRyPTTbaCyQkyM9kPw/AeKmqQi7DtNBASUFIv8tHsGfVGJ0gZGtgdzw1fJnVghCgfBqMlTWuiBARkU0Vf/zStqGnwdbsxfMj9l5MlLxqEhLkhz6BvuJ7Xb+XhY2nbiIxQ3dzu2mhzeHu5IBtUfE6j4MioxMwO+Ki0c/inn0fs/auwDOX/hDHkp3c8GHfsYhs1kXvOZZ2Sy2vBmNljVUzRERkM/oev3i52CMl03jDMAAID34Ei/ddKXETN9U7Q1vxIOjeg1zM+P0CUjLzxGP83B0xsJUfvjkcZzRg6Bl7GvMil6D2g5Siz/dIZ3z41Fgku3iY/DzmWiHh81nK1tU3LN8lIqJyZ2pnXFM8nOyRlq0/YDHUC8SYuTsvYuXhOLOvwzU3Ex/t/w4v/7NXHEtXumB6n7ewLbAHILN++Wx48CMYH1xysz5rsFZujjHm3L+ZI0JERFZnamdcKQwFIYBuVYmUa1m094pFQcgT16MQuWqcThBysHFbPDViGba16GmTIMTXTYlxvZpYfV7AvNycssIcESIisjpTO+MaIwPg5KBAVp7K5LGmqkoioxPw8e8XkJiRa9Y1OOXlYMofazD0bIQ49sDBCbN7vYGfWj5lkwBEM+PHA1vYpEmZseDQWO8SW2MgQkRUjdkqV8DSslNNYqfU+3wtV0eDn8HSR0Pt/ruABRGL0SitaHXgWIOWeK//ePznXtvM2aTztcGeL9pMBYfl1buEgQgRUTVly1wBqWWnXi4OOomjvu6OeKV9fSzad9Xkud4uDkjNzCuxP4zfw8qY2RGXzApClAV5mHh4Hd44vRXyh2dm2ykxt0cY1rUJhSDTzWbo7O+NS4kZRh8hGePrpsTgDg3QqKZLmbRrlxoclnXvEgYiRETVkKHVAk2ugJSKFGNMNQcztHV9B38v7Dh/W9J7tKrvjrEb9H+GMRvOmXW9LROuYGHEIjRNviWOnanzKCaGhuO6V12957zSsT6eblkHp+JS8MPxOOyKvmPyfaaFNkdNV2W57BMjNTgs694lDESIiKqZssgVMNbtVLupmIOdvMRjAKk3wqhb6QY/g1T2qny8fXQTxpz4BXaCGgCQq7DDwq6v4bv2z0ItVxg8t5aro7j3Swd/L3SZd0CnZ4k2TeAV1sW/3DapkxoclnXvElbNEBFVM+bkCpSGoW6nvu6ORldcNDdMY7frwl4keUaOMO3Ru3HY9sO7eOf4T2IQct63CZ4e+iW+6TjIYBAiQ8lmYwq5DB8PDIQMKHHdxrq5liVNcKh9TRrleY1cESEiqmbKMlegeLdTKY8kpKymPNe6rkU77gKAQq3CWyc2Y/zRjXBQFwAA8uUKLHniFXzd6UUUKAzfGo3dsDWBV/G8G1snoZqjIl4jAxEiomqmrHMFLNm63tANs/bDBM98lVryXNrBTEDyLSyM+AKtE4qSYS/XbIiJT7+LC7UDTM5l6oZtSeBV1iraNbKzKhFRNaNSC3hy/gGTuQLmdC3VntuaNzjt+fTtHWOMl4s9nmldF9uibiPtfjaG/fU7Jv+5Do4FhY90VDI5VnQchC+7/A95dvZG55n2dAv4uun/PLYqgbZ1G3ZbMuf+zRURIqJqRmoiqbk3PVuUA2tWUyKjE/TuO2NMSmY+1hy9jgapCVgVuRiP37wgvpbZqDGGPDkG5+o+KmkeXzdHvas6tiqBLos27BUFk1WJiKohSxNJDbFl63CL28ULAoac24nINeN0ghBMmACXC//gzff/Bw8nwysh2vTly9jqM1fENuy2xBURIqJqylq5ArYuB5baLt7FQY7MvMLckToZdzF/51foeiNKfP2me23Me/E9LFkYDoVchpAgZ7g62uPV706anLt4voytPnNFbcNuS1wRISKqxjSPPp5pXRcd/L1wKi4F26LicTw2GSq1tDUIW5cD77uYKOm4zDw1IAh48fxeRK4apxOE/Ng6BP2GLcFO72Y619GpsbfRUmF9pbqA7T5zWZVWVyRcESEiolLlJNiyHDgyOkFyma7PgxTMjVyC4NjT4lhCDW+83+8dHG7cVhw7GpMkrvwo5DJMCw3EmA1nS8xnLF/GVp+5orZhtyUGIkRE1Vxp271bsxxYu1KkposSH/9+0fTEgoABlw5j1t4V8My5Lw5vDuqNWb1HIsOxhs7hSw/G4tez8WJzr9kR+t/DWKmurUqgK2obdltiIEJEVI1ZIyfB0tbhxYOO09dTsPbYdbM2kfPKSsfsPV8j9N+j4liSiwc+6Ps29jXtaPC8xPQcvLW+5CqItmmhzU12f7V2u/SK2obdlhiIEBFVY+bkJGhySIontppbDqxSC1h6IAZrjsZZvHhTZzMAACAASURBVHMtADx15Tg+3b0MPllp4tiOR7tiWp+3kOrsbvRcU9kvMgCzIy6hb5CfznVrf/5poYEYu8G6JdC2Kq2uyBiIEBFVY1JzDfZeTMS7P0cZzCGR2jo8MjoBU7b8g7QsywMQt5wHmLFvJQZdOCiOpTq6YtpTo7GjeTeL59WmHYBp+pjoy6EZ1c0fv/+dYNV26RWxDbstsbMqEVE1djw2GYO/PWHRuZrfybVzSIx1A42MTjD5OMSU7tfOYP6uL+H7oKhqZG+TjpjadxySaniWam59vnylNZR2cr05NJrPv+x/j8PTRcnOqlrYWZWIiCQxlZMAAHIZoK+SV18OiaF9ZTS5KJZyyc3ChwdX439/R4pjGQ7OmBn8Jn4N6gXISt6gC3fotXzlBQBquigxafPfRnNoZkdcsqgdvimW7NFTGbGPCBFRNSZla3hj7USk9rWQ2pRMn043zyNyzds6QcjhRo+j74hl+PWx3nqDkBfa1MOJD4KN9ggxRtM/BDJUu74eZY2BCBFRNWes3fuILo0kzXE0JqlEAzSVWsDx2GRsi4rH0Zh7Zl+XY34OZuxbiU0bp6J++h0AQKa9I6b2HYvXX5qFBDcfved5ONtj/gst4WAnNxhkmSKgMCn03oNcScdXpb4eZY2PZoiIyGC791NxKZIaimn35ggJ8tOb3GmONvGXsCBiERqn3hbHTtYPwqT+E3DLw9fouXOeDdL5HMv+1wazI8y7luFdGiEkyA/HY5MlHV+V+nqUNQYiREQEQH9OQgd/L/i6OSIxw/RNXNMAbVQ3f3xzOM78TeoAOBTkI/zIjxh1agsUQuG+MTl2Dvis21CsaTcAgszwQn4NpR1e7VgfsyMu6QQdHk726NLEG8evpSAlM0/SdfQJLAx2qmNfj7LGQISIiETFKzVSM/OQU6CSdK7mRv3tn5YFIS0SY/BFxBdodu+mOHbOrxkmhobjmnc9o+e6KBWY+/xjeGfjuRLvnZadj4h/pO1Xoy+weKV9Ayzad0XvsUDV6+tR1hiIEBERAP37zVhC4l55IjtVAcYe/xnvnPgZClUBACBPbodFXV/FNx2eRy1PF7zZyg/fHI4DoL8Z2eeDWmJ2xCWLAiCN4oGFqe+jqvb1KGsMRIiIyOB+M7b2SNJ1LIxYhMfuxIpjQuvWuPTJl3i0bgDWa/XPeLyBp8GN+dydHEodQGkHFqa+DxelwmgLeJKOgQgRUTVnbL8ZW5GrVRh16jeEH1kP5cNVEEGhwH+jw3Hu9THw8XLD08UaeBlKqFXIZdgWFV+q6xnXMwDhfZpBIZchr0CNqb9FG/0+MnNVGLvhHJbLZQxGSomBCBFRNVeaHh/6FN8jpTj/lHgsiFiEtrcvi2P36jfG5AETcdClIfBrYeMzPz2PPgw1+Spt1UqXJj7i45ipv/0jqRGaANMbApJp7CNCRFTNWbsHhqEgRCaoMeyvbdi55h0xCFHLZDgxaBi6vLQAB10b6hyvqcKJjE4w+Z6a6hZzaRqXdfD3Eh/HmNONlc3MSo+BCBFRNVcWPTDqpSViw6YPMWP/t3AqKGwSlt3QH6qDfyC87avItXMocY7w8M/U3/5BXoFa5zXtZmmaXh+a5mVSaSenArD48RSbmZUOH80QEVUThjZRk7LfjMUEAYP/3o0PD65CjbzsovFx4+A0bx6OJ+YgId34pnspmflo+8lezH/+MfRvWcfgTrgzBgRixZA2knf31U5OPR6bbPHjKTYzKx0GIkREVYihYMPYzTskyA8zBgRi9PqzJvM7zOGbcQ/zI79C97iiHXf/c/PBjc+XosuolwAAd++nSZrrfk4Bxmw4hz5R8dh38W6Ja9Q8xlk+pA3OfNQHSw/EYM3ROKRlFwUkvm5KDO7QAI1qupTYzdaSVQ02M7MOBiJERFWEoWBj4MMeHMZu3pr9ZqzRRwSCgOcuHMTMfSvhlpspDm9s+RQ+7fUGvu3dSxy7fi9T3wwG7b14V/9bQncn4PHBTTGuVxO9QZk+5q5qsJmZ9cgEQSjrsnHJMjIy4O7ujvT0dLi5uZX35RARVVil6QPi5WKPEx8Ew8FODpVawKK9V7D0YIxF11EzMxVzdi/DU1eLHrfcqeGF90Pexh8B7eHr7ogj7/cSV2neWn/WyGyW2Tiyk97KGmNUagFPzj8g+fGUvooeKmLO/ZsrIkRElVxp+4CkZOaj09z9mPNcEEKC/NClSU3JgYj2o5x+l4/g0z1fwys7Q3z9t8Ae+Dj4TWQ4uQIoWkHQXLMtWPKYRSGXGXw8pfk5PLip3sc6VDo2q5q5fv06RowYAX9/fzg5OSEgIAAzZsxAXp60DYeIiEgaa/QBScnME0tlNcmrxm6zHk72mNC7KWq7OcIjOwNf/f4Zlm+bJwYhKS4eePPZqQgfMAnpTq7wdXcUHwFZ65oNsTR5VPN4yrdYGbCvuyNWDGmD8cGP4JnWddE5wJtBiBXZbEXk8uXLUKvVWLlyJZo0aYLo6GiMHDkSmZmZWLBgga3eloio2rFm+agmx8JU8mpadj4W77+KQbfPYVbEV3BJSSp68fnn4b7sa4Rl2qG/gfwMW5S8WiN51Fj3VrINmwUiISEhCAkJEX9u3Lgx/v33XyxfvtxgIJKbm4vc3Fzx54yMDL3HERFREWuVjwooatBlKnnVNTcT0/Z/i5f+2Vc06OkJLF0KDB4MhUyGziiq4tlx/jZquigBGXDvQS7u3c8tMac59D0+AayTPGqoeyvZRpnmiKSnp8PLy3CkOnfuXMycObMMr4iIqPKzdh+Qu/dzoFILcHdywHt9m+Heg1wsPRiL9IelsF2uR+GznV+i7v2iVZCjzTqg074tUNSrK46Z2r1WJgPMLZeQARjVzR+//52gMy93wq28yqxqJiYmBm3btsWCBQswcuRIvcfoWxGpX78+q2aIqMor3v+jbUNPnLmRKvnxgKZqBtC/UjCqmz9+OfOfpPbl4cGPYNPpmyUCCOe8bHxwaA1eO7dTHLvv4ITZvUbi55Z9sHFUZ3ElwRa7+WpXqhjql0IVgzlVM2YHIlOmTMH8+fONHnPp0iU8+uij4s/x8fHo3r07evToge+++07ye7F8l4iqA30rB3IZoNb611lKuai+eTyc7DGsSyOM69UUKrWATnP3IyVTf9GADIC7sz3Ss/JLBBDtb0Vjwc7FaJiWKI4dbdgS7/WbgHj3WgCA4V0aYfqAFmIprDWTUbV3x6WKz6aBSFJSEpKTk40e07hxYzg4FO4bcPv2bfTo0QOdOnXC2rVrIZdLL9RhIEJEVZ3UlQPN7Ve78kQflVow2lU0PTsfq49eN5iEWkNphwe5BeLPyvxcTPpzHUac3gb5wzOy7JWY22MY1j/eH4JMrnWuAitfawcAePW7kyY+kXks6Q1C5cemgYg54uPj0bNnT7Rt2xbr16+HQqEw63wGIkRUlZm7cqCpCtE0BNNHamBTfMVFn1a3/8XCiEVokvKfOHa6biAmhU7ADc86Bs/zcLLXCYJKQ8pnpoqnQjQ0i4+PR48ePdCwYUMsWLAASUlFSU2+vr62elsiokrD3F4a2lUt+lYHzGlsZiwIsVfl452jmzDmxC9QCIW73uYq7LGg62tY1f4ZqOXGf6m0ZhACsI16VWezQGTv3r2IiYlBTEwM6tWrp/NaBe4qT0RUZiztpWHoPGs0CWt+9xq+2PEFmiddF8f+9m2KiaHhiKnZoFRzm4uVMNWDzQKRsLAwhIWF2Wp6IqJKz9L+H4bOK02TMIVahdEnfsE7RzfBQV2YI5IvV+DLLoOxouMLKFCUTbcHLxd7THu6BXzdWAlTXXCvGSIiE2xVKmpu/w9TnUMtDWwC7t3Cwp1foHXCVXHskk8jTAx9FxdrN7ZoTg2p+SKab3POc49xBaSaYSBCRGSEvpJYa+28amyjteK08yUA4HhsconAyNzARq5WYfhf2zD58DooVYXBgkomx/JOL+CrJwYjz85e73kuDgpk5qkkfcZl/2uDv26klqjiKd7MjI9hqq8ya2hmCVbNEFF5MlSBIrWUFpC2mmJOHxEARgMjQ43NimuYehsLIhajfXzRDrixXvUwMTQcUXWaGf1MY3sEYNmhWKPHAICHsz3mPPsYxm4wXMUzoksjBAf68jFMFVNhyndLi4EIEZUXU6W1Uktppa6mGOusqtmjZf+lO1h99LreawGKAqPI6ARM2fIP0rJKPhKRCWoMObcTHxxaA+f8wk7Wasiwut1AfN7tdeTaK41+Lx5O9hjbswk+3XnJ6HEAML53U/z8161SfYdUOVWI8l0iosrMVAWKqVJaQ6spCek5eGv92RIrAfo2Wusc4I3I6ARM2vy3yWuRoWjnXABI1xOE1Mm4i892foknb/wtjt10r41JoeE4VT/I4Pza0rLz8enOSyb7kHg426ODvxe+3H/V4DGmvkOqHhiIEBHpIbUCRd9xUvp5rDp6HauOXoefuyOmhTaHp4uyxOMbc/Zr0dzUT8Qml3xvQcCL/+zF9P3fwjUvWxxe93h/zO0xDFkOTpI+qzZTzdCGPdEI+y7ekTRXaap9qPJjIEJEpIfUChR9x5nTzyMhPQdjNpzTGdMEJ7MjLpm9adyx2Hs67+3zIAXzIpegd+xpcey2a0281288jvg/bubsJRlaGVm07yqkPmyxtNqHqgYGIkRUbRlLJDVVgWKslLa0v+En6glOpFp7/HrhfwgCBl76A7P2roBHzgPx9V+CgjG79xvIcKxRqmvUUAvAC23qYvPZ+BKvSQmivF0cDJYjU/XAQISIqiVTiaTGSmtNtR4v7W/4pakgyMxVwSsrHZ/sXob+V46J40kuHpgS8jb2N+koaR5T5cTa9l26a/6FPvRM6zpMVK3mpG+FS0RURWhyL4o/PklMz8Ho9WcRGZ0AAAgJ8sPyIW3g664bWLg72WNCcFMxMbQ4zWpKedxe+145hj2rxugEIdsf7Yo+I76WHIQAgLuzPVyU0jYqLc3eMoa+Q6o+WL5LRNWKJWW5KrWApQdiSjTlMtbYTGo/D2txy3mAj/etxPMXDopjKU5umNZnNCKad5U0R7+g2ggJ8sP1e1lYvO+KyeuWoTAoszQQ8WPpbpVlzv2bKyJEVK2YU5arsfdiIhbvu1Lihlt8BUWbodUUW+gR+xf2rBqjE4TsbdIRT41YJjkIAYDXO/vj6ZZ1sOn0TUlBCAB0bWp+2a3s4R/uqksAc0SIqJoxtyzXWClu8f4dxW+qIUF+6BPoi1NxKdh7MRGrj143K/fClBq5WfjwwHcYfH6POJahdMHHwaOwpUWvwj7qEvk9TLyVWvHj5eKA2c+0wKwdF00eWxzbuZM2BiJEVK2YW5Zb2sZmmkZlnQO80cHfq0SCrKU63ziPz3cuRr2MokTRw40ex3v9xiPRraY4Zs4eNgq5THKg9tHD3ieJGblmXfe00OYI6+LPlRASMRAhomrF3LJcS1ZQDJUEa1ZITsQm45czt7A16rbZ1++Yn4P3//gew85sF8cy7R3xSa83sLFV3xKrIM7FNqgr3vej+OqE1EDN193JojLlmq5KBiGkg4EIEVUr5pblmrOCImVvmb0XEy1eFWnz3yUs2LkIjVOLApgT9YMwuf8E3PLQX32SmafChN5N4e/jUmIPG32b8JkTqGnn0UjF5mVUHAMRIqo2NKsVuQVqTAh+BBtP3URiRlFAoC93wdSNGQC8XOxx70Eu3tl4zuDeMuHBTdG0lqvRnWgNURbkIfzP9Rh5eisUghoAkGPngPndh2Jt2wEQZMbrDr798xq+eb0d7t7PwZkbqUZ3upUaqAGAWi3AQ2LVjLEGcFS9sXyXiKoFfasVvm5KDO7QAI1quuisDhR/vJKamYexG4yX4praBE7qMcUFJcbgix1f4JHkm+LY2TrNMKl/OK551zNvsoeMlR1rGFvdAWDWqk7x3YGp6jPn/s1AhIiqPEObx+m7QRq6AQ9s5Yff/06wSqKpFPaqfIw79jPGHv8Jdg9XQXIVdlj85Kv4psPzUMmlNRvTR2pgoC/fZe/FRMkb8WlICXyoamEgQkT0kDkNzAzdZDU37iWvtMb07ReRkplny0tGs6TrWBixCEF3YsWx6NoBeDc0HFd8GlnlPfQ1bjPF1HcJAB5O9lgy+HHI5TLce5CrNw+Fqj5z7t/MESGiKk1q+e2J2GST/UKmb7+AlEzL25mbolCrMOrUFkw48iOUqgIAQIFMjqVPvIylnV9GgcJ6/2SbKjvWR0qPkbTsfNgp5JLnJGIgQkRVhr5HCVJLTI9fu2cyYLFlENI4+T8sjFiExxP+Fcf+rdkAE0PfRbRvE5u9rzkluOaWMhNJwUCEiKoEQ7kdr7SvL3GG8nl0IBPUCDuzHe//8T0cCwof+ahkcnzb4TksevJV5No52PT9zSmnNbcZHJEUDESIqNIzlIyamJ6DRfuuwsPZHulZ+UbLbzv6e2HpQQMH2Ei9tEQs2LkYnW5Fi2Nxnn6Y2P9dnK3X3KbvbUk5rbnN4Iik4KZ3RFSpSdkLRsPQmkdKZj4mb/4bHs72ZbMuIgj4X9Qu7F49TicIWdN2APoNW1ImQQhg/qZzmh4j2nOUdk4iBiJEVKlJSUZNy8rHhOBHjO6EeycjF2kPV01seRv1zbiHH36ejjm7l8Elv/C6/3OrhcGvzMHM4DeRY190jc72pf8nelCbuvB10/3cvu6OFvf0MLSrcGnmpOqNj2aIqFKTmhjZqKYz/pjcE53m7tdbfqsJQNyd7eFop9DpuGoVgoDnLxzAx/u+gVtupji8oVVfzOk5Ag+UziVOycpXW9QETduvZ+Ph66ZEeHDTEo3bLKW9q7ChVvFEUjEQIaJKzZwEyjM3Uo32ANGsnvw4og3kchmOxiRh6cFYg8dL5fMgFXN2L0WfmJPiWGINL0wJeQeHAtoZPbc0QYjGnYxcLN53FcuHtLFaWa1mV2Gi0uKjGSKq1DQJlIZ+F5ehsHrGnFLee5m56BzgjfA+zYzOLUX/y0ewe/VYnSBkS4ueeGrE1yaDEGvRxDIzt1+EyhqRDZEVMRAhokrNnARKc8tPjc1tikd2BpZsm4+vt82DV3YGAOCeszvefG4q3n16IuRenhbNW5zm/Bfa1DV6nHYDM6KKhIEIEVV6UhMozVk9MTW3McFXT2LvqjEYcPlPcWznI09gyZdbEDJtDDaO7IQzH/XBCjPnHd6lEfz0fMYVQ9qg6yM+kuZgszGqaJgjQkRVgpQESqlb3BdPuiw+d00XJSAD9l1MxOaz8bifU9iO3TU3E9P3fYsXo/eJ56Y51sD8p8eh+/S3MfOxOnrnXXs0DrMjLpn8jH0CffFhaKDez3g8NlnS98RmY1TRMBAhoipDSgKlZoWjeBdWXxM7xOqbu0uTmmjbwAvjNp1D17izmL/rK9S5f098fX9Ae3zQdxzkdevgkxaG5w3r4o/vjsRJahRm6DOy2RhVVgxEiKjasVb5qUotYO7m0/hk90oMidoljt93cMKs3qPwy2PBgEwGZOTiRGwyujStqXceS1dqrD0HUXmQCYJQYVOozdlGmIgI0L/xXfGbb/Fj2jb0xJkbqWYHJdEbt8N1zCg0TEsUx440bIX3+o/HbbdaOsd6ONlj3qDHjDb8MrRfjrGVGlvMQVRa5ty/GYgQUZUh5Sas75jiTcNM3rizs4EPP4SweDFkD/8JzbJXYk6P4fjx8X4QZPrrAGSAye6jUgIpU6wxB1FpMBAhomrH0MZ3mtvv8iFtAEDvMcVpn1MiaDh5Ehg6FPj3X3HoVL1ATO4/ATc8dZNR9c3r6+6II+/3YmBAVZo592/miBBRpWdq4zsA+Pj3CwBkJoMQzTkyFDYA6xPoWxg05OYCM2cC8+cDanXhcUolvuo9DF+26Ae1XCFpXk0vD3YlJSrEQISIKj1TG98BQGJGrllzaoKG1UeuwSH6PPp/PgU+168UHdC+PWTff49mKg8I68+aNTd7eRAVYUMzIqr0bHVjt1MVIOPDGfjf2y+KQUi+wg5X3n4fOHYMaN5cLAcu3mjMGPbyICrCFREiqvRscWNvcu8mFkYsQqvEq+LYJZ9GmBj6Li46N8aKy0li/oimHPhEbDLGbjiLtOx8vXOylwdRSVwRIaJKr4O/F7xc7K0yl1ytwqiTvyJi7XgxCCmQybGk88sYOHQRLtZuDKDkBnIKuQxdmtbEvEGPQQbT+96YS6UWcDw2Gdui4nE8Npmb11GVwRURIqr0FHIZnmtdF6uOXi/VPA1Tb2NhxCK0iy9qtx7jVQ8TQ8Pxd51mOscaSjq1tHOrMewNQlUZAxEiqhKCA30tDkRkghqvnY3AlD/Wwjm/MKlVDRlWtX8GC7q+hlx7pd7zDOWmWKtzK2C4LDkxPQej15812ZeEqKJjIEJEVYJmrxVT1TPF1U2/i892LUaXG+fFsRsevpjUfwJO1w8yeq6x3BRT+95I7QBrrCy5RIkxUSXEQISIypW1uoBq9lp5S2oprSDgpfN7Me3At3DNyxaHf3g8FPN6hCHLwcno6b5uSqgFAdui4s2+bqmPWkyVJbMvCVUFDESIqNxYO/chJMgP4cFNsWjfVaPH1bqfjHmRS9Dr2l/iWLyrD97rPx5HG7WW9F45BWq8+t1Js6/bnEctUsuS2ZeEKjNWzRBRudDckIv/xq+5IUdGJ1g077heTeHrZuCRiSDgmQsHsWf1WJ0g5OfHghEyYqnkIAQA0rJ0S3SlXLeUDrDa1ThSy5LZl4QqMwYiRFTmzL0hm0Mhl+HjgYElyme9M9OwfOtcfLljITxyHgAA7rp4Yvig6Xiv/wTcV7qY/V7mXrc5j1qAorwXQw98ZChciWFfEqrMGIgQUZkz94ZsLk0JrbND4f4vff89ht2rx6LflWPiMduad8dTI5bhQJMOFr2HPqau29xHLZq8F8D6fUmIKgrmiBBRmSuL3Ic+gb6omX8M4duX4rmLh8TxZCc3fPTUGOx69EmL5zbF0HVb8qjFFn1JiCoSBiJEVGY0FTJX79yXdHxpch+urPkJvywdi9oPilYndjfthA/7jsU9F0+L5uwXVBu7ou+YPM7QdWsetSSm5+h9LGWoBbw1+5IQVTQMRIioTOirkDHGUO6DyXLfjAzg3XfRfNWqoiGlC2YEv4nfWvQEZLo3b2cHBbLyVJKuaUjHRoi6lW52IKGhedQyev1ZyACdOUw9ajHVl4SosmIgQkQ2Z6hk1ZhpoYU3ZO3A4/q9LGw8dROJGQbKfQ8cAIYNA27eFF8/5N8W7/d7G3dca+p9n29fawcAkjar6xTgbXEgocFHLUS6ZIIgVNidkzIyMuDu7o709HS4ubmV9+UQkQVUagFd5h3QCR6k2DiyE9Kz80yuosgAOOXlYFdiBBpuXCOOCzVqYF6fkfimaS8IMv2BgVwGLB3cBv1b+onBEqA/wNDu72GN/ifWauRGVBGZc//miggR2dTSA1fNDkIAYM+FBKw9dsPkKkqb/y5iwc5FaJiq1b+jRw/I1qwBLmZBOBxn8Fy1ULgSslzeRvJKhUotwN3JAe/1bYaUzDx41VDC1838QIKPWogKcUWEiKym+G/5qZl5GLNBYsv1YmQywNi/TsqCPIT/uR6jTv0G+cNwJV/piP/em44G09/D3st3JT0O0jx2OfJ+rxKPgoqvVBhaCZkW2hyeLkqubhA9ZM79m4EIEVmFvpu0XFa46mBtjyVcxcKIRXgkuSgX5GydZpgY+i7ivOrC09kOgiAzmPOhz8aRnYyuUJiT51KaNvVEVQEfzRBVYRUxt8DQTdraQYi9Kh/jjv2Escd/hp2gBgDkKuzwRdch+Lb9c1DLCxuYpWYVmD23sZ4lxjrB6qNv3xgi0o+BCFElYu1N4qzB3Ju0pZolXccXO75Ai7vXxLF/agdgYmg4rvg0KvX8xnqWmOoEW5yAwkc+M7dfRJ9A33IPFIkqMrZ4J6okbLVJXGmZe5M2l0KtwpjjP2P72gliEJIvV2BRl//hudcWljoIkbJfiyUdXkvbpp6ouuCKCFElYGqTuPL87duWW9AHJN/CwohFaJ1wRRz7t2YDvBv6Li74Nin1/FJ7f5Smw6stvx+iqoCBCFElYM4mcWVdEmqLLehlghrD//odkw//AMeCPACASibHyo7PY3GXV5FnZ2+V95HaRMxUa3ZjbPH9EFUlDESIKoGy2CTO0iTY1Mxck9UxxbuQGlM/LRELdi5Gx1vR4tg1zzqYFBqOs3WbS5zFuH5Bvni9cyPJn9FYa3ZDTLV7J6JCDESIKgFLdm01h6VJsJHRCRi74ZzRG7MMwPjeTbB4f4zxixAEvBq1C1MProZLftF1rG47EJ91fx059tZZWfB1U2Lp/9qY/QjLUMMzfaQ+8iEiBiJElYKlu7ZqM7TiYaj01lQJqpRqGU0L9Xy12ujn88tIwvxdX6Hb9XPi2C332pjcfzxONGhp9FypNOHAxwNbWBwc6NsFNzUzD7MjuG8MkaVsGogMHDgQUVFRuHv3Ljw9PREcHIz58+ejTp06tnxboiqnNLu2AsY7gs6OuGRREqyUahm1AHi6OBg+QBDwQvR+TN/3DdzyssThDa1C8GnP4chUOhud3xzWCg70tWbvG+Rb4Xq7EFUWNg1EevbsialTp8LPzw/x8fGYNGkSXnjhBRw7dsyWb0tUJVm6a6uxFY8xG87pPUfDUBKsSi3gaMw9Sdd9934Onm5ZB14u9kjJLOp06vMgFXN2L0GfmFPiWEINb0zp9w7+aNxW0tzGeDrbI+yJRmhU08XmwQH3jSGynE0DkfDwcPG/GzZsiClTpuDZZ59Ffn4+7O2tk/VOVJ3oezRg7AZrquxXKu0kWH2rK8bcu58LAHiudV2sOnodAPD0pcOYvWc5PHPui8f9GtQLM3uPQoZjDTOuzLDpTwfiuTb1rDIXEdlOmeWIpKSk4Mcff8QTTzxhMAjJzc1Fbm6u+HNGRkZZXR5RpWHOb9/WajZ29c4DHI9Nsm2+NAAAIABJREFURmpmHsZukLbfisbsiEtYdigGnfy94JmVjtl7V+Dpy3+Kryc5e2BqyDjsbdqp1Nep7WZKttnnVMT2+URVnc0Dkffffx9Lly5FVlYWOnXqhB07dhg8du7cuZg5c6atL4mo2rBWM62lB2Ow9GAM5DLzVlI0UjLzkffb79gTuQQ+WWnieESzLvjoqTFIdXa3ynVq23T6Jsb1aiI5kKiI7fOJqgOzW7xPmTIFMpnM6J/Lly+Lx0+ePBnnzp3Dnj17oFAo8Prrr8PQhr8ffPAB0tPTxT+3bt2y/JMRVXMqtSA+FpFCyu3akk3s3HIeYGHEF/huy2wxCEl1dMXbAyZj7DNTbBKEAOa1V6+o7fOJqgOZYCgqMCApKQnJyclGj2ncuDEcHEpmyv/333+oX78+jh07hs6dO5t8L3O2ESaiIlLzODRlv9NCA0uUoFpDt2tnMH/XV/B7UPRvxr6A9vgg5G0k1bB9o68vX2mNZ1rXNXqMSi3gyfkHDH52zXd05P1efExDJJE592+zH834+PjAx8fHogtTP+wloJ0HQkTWZahKpjjtst+QID+xBPVoTBKWHowt1TW45GZh6qHVeDUqUhzLcHDGrOBR2BzUG5AVvvu4nk3g6WyP2RGXSvV+hkhp8FaR2+cTVQc2yxE5efIkTp8+jSeffBKenp6IjY3FtGnTEBAQIGk1hIiKSE2ilNJkTMPdyR7DujRCn0BfAEVJsKXNK+l48x98vnMxGqTfEcf+bNga7/d/B7fdaukc27R2DTzdsg6+OxJn1mpMbVcH5KoEpGflW9zgTaMs2ucTkWE2C0ScnZ2xZcsWzJgxA5mZmfDz80NISAg++ugjKJVKW70tUZVjThKlOVUyadn5WLTvKjadvqUzlyVt4mUAlPk5mHZsPV49sVUcz7R3xNyew7G+dT9xFURbTRclTsWloF+QL1Y/LO3Vx9lejje7B+j0BNkdnYgxG87qvRZAent1W7fPJyLjzM4RKUvMEaHqztBjFs3ttXj79W1R8Ri/Kcqs9yg+lyZnwthOs8U3uQtOv4YvIxfD5fo1cexkvRaY3H8CbnqWrDiRAXB3toejnQKJGTk644ZWOLSv0VgOjLmVLqY+L3NEiMxn0xwRIiobppqR6Wu/bslv7dpz9Xq0Ns7cSDW4QqG5DS8d/Dg8XZS4l5yONqu/Qp1vl0D2MAdM5aDE4p5DsaxlKNRyhd45BABpWfkA8nVeMxT4aF+jWg2jvUymhTY3q9y2tO3ziah0uCJCVEEdj03G4G9PmDxu48hOYhKllNUMY7xcHJCSmWfwdU9ne8x9/jH0CfTFhe0H0WjSGLjF/Cu+nvbY43ir99s4oSzKBZHJAO1/ZXzdlMgpUD8MRKx7jaVZvWAfESLr4YoIURUgNTkyMT0bx2OTxUTWaaGBGKsnd0IKY0EIAKRm5ePva3dxa8IHCDu4HvZqFQAgX2GHo6+OxRu1e6Gg2CqIJggZ0aURggN9oRYEvPrdSYuuz9Q1lqbCxdz2+URkHQxEiCooqY9ZZkdc0rk5e7nYo2ezmjh45R6svd7ZNOkG+r05AS0TY8Sxi7X8MTE0HJdqNTZ4ngzAzuhETA0NxI7zt617UXpYWuHCzeuIyh4DEaIKqoO/F/zcHU0+Zim+QpCSmY8D/0rbGVcquVqFN05vxcQ/10GpKgAAFMjk+LrTi1jS5RXkK4xvYqlZqTgRm2xx9YkMgGexHXwNYYULUeVhdot3IiobmiRKQFr7dVtplBKPnzdMwdRDa8Qg5Kp3fTz/2gJ80e01k0GItrEbziI1Mxd+7o5mfSbNsZ88E2T0XBkK8zqk9A8hooqBgQhRBRYS5IflQ9rA1133N3wvF+k3f0vJBDWGntmOXWveQbv4ws6nasiwssPzeDrsS5z3e8TsOdOy8zF2wzkMbFWY/Fk8oND87OGs+/l83R2xfEgb9G9Zx2BwxgoXosqJVTNE5cScLeeLH5uYkYPwn8zrF2KOeul38NnOL/HEzfPi2HUPP0wKnYC/6rUo1dzG9rfRVKmYShplhQtRxcaqGaIKztwbafEkyuOxxjeetJgg4OXzezDtwHeokZctDn/fJhTzug9DtkPpcy80+SKeLg448n4vgwGHsaRRVrgQVR0MRIjKmKFuqZot54t3S9VHaiKrOWrfv4d5kUvQ89oZcew/Nx+81288jjVqbaV3KXL3fk6pqlRY4UJUNTBHhKgMmeqWChR2D1WpjYcX2omspSYIePbCQexZNVYnCNnU8in8/v0uvPjeULg6Wv93Fla2EBHAQISoTJmz5bwpmkRWP3fLb+jemWlYsXUOFu9YCPfcTADAXRdPjH91Njx+XIsxz7bFc23q4aW29Sx+j+JY2UJE2vhohqgMlWbLeX3Jrdq5ErsvJOD74zckNzHrd/kIPtnzNbyzM8SxrYHdsXjgOOyZ/Twc7Ip+T+nVvDZWGdkdV5uhjes0rwGsbCGiIgxEiMxgTqWLPpZuOW8qubVzgDc6B3jDXiHHt3/GGZ3bPfs+Zu1dgWcu/SGOJTu54cO+YxHZrAtWvNoGCrlMbBt//V4WNpy8Ifkz+ro7YmArP/z0138l9pPxeLhXDStbiEiDgQiRRNYoGU3NzIVcBhhKAdGUtmo/tjCV3Lrsf4U74e69mKh3x1xtPWNPY17kEtR+UPToJ/KRzvjwqbFIdvGAh7M91GrgyfkHjD5C0kezl0xqZp7B3XFTLdzojoiqLvYRIZLAUDCgWQuRUuliaI7i82nPpdlN11hQYCyw0XDNzcRH+7/Dy//sFcfSlS6Y3uctbAvsUbhFroW0gzFT11ua3XGJqPJgHxEiKzJV6SJDYaVLn0BfAND76MbYHBpyGfDVy4/D3ckB26LiUcvVEWpBMLkyYSoIeeJ6FD7f+SXq3k8Sxw42bospIW/jjmtN4ydLsOCFVujStHAec5JxWXpLRAADESKTpN5clx6IwabTN/U+unF3cpAUUEzffkFnEzsPJ8tbuTvl5WDKH2sw9GyEOPbAwQmze72Bn1o+VapVEG37L98RA5HSJOMSUfXE8l0iE6TeNBftu1Ii2NDkcey7mChpjuI76aZlW5ZT0e6/C9i15m2dIORYg5YIGb4UP7Xqa7UgBAC2Rd0W+57UdFFKOkfqcURU9XFFhMiE0jTe0jy6+S0q3mrXY4yyIA8TD6/DG6e3Qv7wQVC2nRJze4RhXZtQCDLr/+6RnJlX9KhFanzD9BAieoiBCJEJpW2nLgBIycyHl4sDUjPzrNaSvbiWCVewMGIRmibfEsfO1HkUE0PDcd2rro3etZBm1ejeg1xJx0s9joiqPj6aITJBu526oa3npWhd393sc6SwV+Xj3cPrsGXdJDEIyVXYYU6PYXjx1fk2D0KAwlUjlVrAvfvSAgy2dyciDQYiRBJo2qn7Fmun7uvuiPDgppLmOHA5CaO6+ZeYw8vF8oTUR+/GYdsP7+Kd4z/BTlADAM77NsHTQ7/ENx0HQS1XWDy3VC4OCnx/PA7tP92H2RGXjB7L9u5EVBwfzRBJZGjreQDYdPqWyaoYGYDf/07AH5N74syNVHGO1vU90GX+gRKJqsYo1Cq8dWIzxh/dCAd1AQAgX67AkidewdedXkSBouz+p52Zp0Jk9B2Tx7G9OxHpw0CEyAyGtp6fMSAQb60/a/RcTZnvmRup4hyR0QnotfCQWUFIQPItLIz4Aq0Tropjl2s2xMSn38WF2gGS55HSCM2afM3sQktE1QMDESIrCAnyQ+9HfbD/cpLJYzWJnVI6rWqTq1UY9tfvmPznOjgWFAYuKpkcKzs+j8VdXkWenXmPeIZ2boi1x27YLHlW27TQ5gjr4s+VECIqgYEIkRWo1ALO3UqTdKwmsdNUp1VtDVITsGDnInT476I4FutVF5P6h+Nc3UctuGLgqRZ+6NjYu8T+ObZQ01XJIISI9GIgQmQFp+JSkJJpuvmYt4sDOvh7mezWKhIEDInahakHV8E5v6giZVW7Z/B5t9eQY29+9Yn2xnoKuUzMe9l7MRFbo27rPCbyc3fEtNDm8HRR4u79HFy98wBLD8aY/Z6skiEiQxiIEFmB1O6rz7SuA4VcJun4Ohl3MX/nV+h6I0ocu+leG5P7T8DJBo9ZdJ36EkY1eS+dA7zxYWig3r1yNI7HJpsViOjbTZiISBsDESIrkPobv2ZjPKPHCwJe/Gcfpu3/Fm55WeLwj61DkDL9E5w6mQgZYPKxjodzYc5IWtb/27vv8Kiq/H/g75mUSZ0UE5jQE8BICC0ioSggBIlE4afuqhQFdRFYkC+ICKh0XUBRLCAqS3FlERuKLhCKgCgGUHooSmIoQkJJwqT38/sjzk0mmXLvZCYTJu/X8/A85syZO/fOJdyP53zO51SN1FhLGDWXjGvQIzwYOq0GGTnW64VwlQwRycFAhMgO7mwdZHUVilpV2Q+ofKAHeHtAX2MvmdC8LCxKfA9xqb9Ibel+t2HG/ZOxL+JOvBOuw8r2zWrlddScQqm+tNjSCIdSbmoV5g3taHWFEMBVMkQkDwMRIjv45XyW1aWwFQL4JS0LarUKO09noLisvOpFIfDgmX1YsPMDBBXlSs1fRg/EgoFjkePlB6Byszi1WoUXB0ciK78EwX4a6LSWAwxLIxy2iI8OwwejYjBz00mj0RYA8NO44bHuLREXpatz0ENEjYNKCFGPlQSUycnJQUBAAPR6PbRarbNPh25x5RXCrqMDBonJ6Zj51UlZO+UGenvU6hdUoMfCHSvxwG8/SW3XfQMxa/Bz2NU+FkDlNEeAjwe83N2QkWM8EuKsUYfyCoEDqZlI+uMGgMopnZ4RtzH4ICJFz28GItQoJCanm5zOqOtDXGktkJru+z0Jr21fgdCCqqW//7vjHsweNB7ZPlV705g7vuGRv3JUDKdAiKjBUPL85tQMuTxzwUKGvggT1h+x+BC3NIqitBZIddqiPMzd9SEeObVHasv28sfs+ybgfx36GvVtqtWgqKyi1jQIUBmgqADM/+40BkXpOBpBRLccBiLk0iwFC9Ye4tZGUWTXAqmh7x+HsWTbuwjLy5TadraLxUuDJ+G6X2Uy6+COTTGkUxia+HuhQgiM/PdBs8czlI4/lJZl93wQIiJHYyBCLs1asGDuIS5nFKW4rELWOXi6qVBSLuBbXICX96zBiOOJ0ms5nj6YHzcOX0UPAFRVgdCv57Px/sg74aZWYfOxy7I+R24tE2sclUvjqOMS0a2NgQi5NLkP52u5RdKDMkNfiIVbzpgdRQGAl74+KbtIV0m5QM+LJ/DG1nfQUl+1S+2+Nt0w4/7JSNeG1npPZn4J1u1PQ4i/BjdyrdfsACpX1NSVI3NpHHFcIrr1MVmVXFpSaiaGrzpgtd/fYprjp5RMoxUp9uBVWoQZP3yMpw5/J7Xle3jhtQHPYEOXeKNREEvk7JSr03ph3lDbH+zmRoHqmhDrqOMSUcOl5PmtrqdzInKKO1sHIdjX02q/L49ctnsQEnP5DLaunWwUhBxsGY34p5djQ9f7ZQchgPUgBACu5lROGyUmpys+V2u5NEBlLk25nBOph+MSketgIEIuKzE5Hf3e2GO0iVt98CwrxYy96/DFf2cgIvsKAKDI3RMLBozF48P/hUuBOpuPbSl0qcuDXUkuTUM4LhG5DuaIkEuqa30PW3XMSMFbW95C5I2LUtvRsEhMS5iKP25rUefjW7seW1fQKMmlUcJRxyUi18FAhFxOXep72Mq9vAwTkz7HpKTP4FFRWbq9RO2Ot+8egQ9jH0G52q0ez0b5g13upn1y+zn6uETkOhiIkMuxtb6HrW6/fh5vblmGTldTpbZTTSIwLWEqzjYJt/r+YF8PzH6gI7LyirFwyxm7nJPSB3uP8GCEBXghQ19kMoBToXITO7krhRx9XCJyHcwRIZdTX8P86opyjD/wJb77eIoUhJSp1Piw30j8vyfflBWEAMC/HuqEh7o1x5g+4QgL8DKbB6ICoNNWbnJnqU+YDQ92N7UKcx+Mko5R85gAMPfBKMV1Pxx1XCJyHQxE6JZUXiGQlJqJzccuIyk10yg5sz6G+cOzLuOL/87AzB/WQVNeBgC43iICpzdtxz92f4J3nuhhdVGMCsBTvdsgwNsT5RVC1kN73tCOmDfUMQ/2+OgwrBwVA12A8fenC/Cq0xJbRx2XiFwD64jQLcdacazyCoG7l+x2yPSMSlRgzOHv8OIP/4F3WWWhsQqo8FGPh9B17bvoGdVcOsfx64/IPm7185dT/MuRBcJYWZWI6oq775LLklscS2kgAFROewzv0QptQnwrq5SqgGs5RXhlczLyi8vR4mYG3tj2DnpdPCm9Jy0oDC8MmYrDLaLwzuNdMaxrc5sCoZrnL+ehzQc7ETVU3H2XXJKSDezio8Pw/ohumPTpUYvFwAyJojqt6Qd5Umom8ovKMPz4dry8ZzX8Sgql19bFPIAl/cag0LNyysEwJWRLsqypDfisLb+V04eIqKFjIEK3DKUb2A3p3AzLocI/N9QeGTGEG/96qJPFqYyc1DR8/MVc9EurOsaf2lBMHzIFSa27SG0B3u5SgqitybLcRZeIGiMmq1KDYSkBFbCtONaQzmH4YFQMwpQmSgoBfPIJBv49zigI+bTzfYh/eoVREAIAxWUV2P5XafW6JsuyuBcRNSYcEaEGQU7ypZLiWDXzJ36Yfi8OX8jGtdwiKf/jRl4xklIza0/JXL0KjBsHbN4s/YJc9QvGjPjnsLftXSY/s6i0Av/ccBTj/ryJF+M7WKydIef8iYgaCwYi5HTmElAz9JWbuBlGLuQWx8rOL6mVLGoIajTuarzw5XHzAc+XXwLjxwOZmdLrVxIexpC2f8dNb3+r1/LhvjR0aRGEuQ9GYcL6I1DBeln26oJ9PZCRU2Q6QCIickFcNUNOJWeFiU6rwf6ZA+GmVmHriXSLOR/P9g3HR/vSTK6qsfQXPbAwB9vOfYawbZurGkNDgQ8+AB5+GInJ6Xjp65PIyi+1ek23+Xri0Mtx2Hk6o9YoT6CPB24WlMoKUOy1HJeIqL5x1QzdMuSsMMnIKcby3SmI1Plh4ZbTJvvoArwwO6EDFm45Y3HLeVMGpBzC4sT30CQ/u6r/Qw9D9cFKoEkTAJVFuQpLKzD1s2PWLgmZ+SVYtz8NY/qEY1CUrtYSW1MBiik1R4SIiFwRAxFyKrmJmct2/W7x9dkJHRDkq1G0bNa/OB+zv1+FR0/uktr0Gl/Mvm8Cfuk+GHOvlSO+SVV/nVZ+7sbCLWfw75/STI5oxEeHSQFKhr4QC7ecQVZ+Sa1jmFrSS0TkarhqhoxYW7lib/ZIzFSh8sGffrPQal+DPuePIXH1JKMgZHdEdwx65n18G9UfGTnFmLD+CBL/WgkDVG7gFuzrIfszDCMa1Y9hYKgBogvwNhmEGFRf0ktE5Io4IkISR5UNt1QB1JCAWpdy7IaH9dzvTlnt61NSiFl71+KJo1ultlxPbywcMBafdx4EwwYxpkYj3NQqvDosGv/ccFT2eVkb0ZA7IrQ/5TorqBKRS2IgQgDkr1wxkFte3FpwY9joTWk5dlNyi8osvn7XpWQs3fo2Wt/MkNr2t+6MF++fgssBTWr1NwQ4y3b+jl4RtwEqoLRC4IHOYfjfidqjHKZYK1Imd0Ro+Z5U6b+ZxEpEroSrZsjqyhXDstifZgyAm1ole+RE7r4wAPDOrt+xbNc5O15VFU1pMV748RM888tmqP86mwIPDRb1fwrruw2BUCmfoQz0dkdZBZBXbDn4MVj2aBfoArxrBW6G715JzRFT3x8RUUPCTe9IkaTUTAxfdcBqv0/H9oS+sERWcKE0uCmvEOj+6k5kF1hfHqtElyu/4c0ty9Au60+p7ZfmUXghYQouBDWz+biG5bePxDTDV0euWO0f7OtplAtSc7fdCX+NCCkJRqp/f0REDYmS5zeTVUl2nkKGvtDipnNAZT6EYdpG7r4wQGXy5sPdmis7cQs8yksxbd8n2LR+uhSEFLt54LX+T+OxEYvqFIQAVde7SUYQAqBWQmr1RNb46DCsHBUDXYD8xF0msRKRq2COCMnOU8jKL5EdXNiyL0xclA6r95+X9T5LOlz7A2/97y10uF51rOO69piWMBUpIa3qfPzqbB1ONLVbcPWaI+eu5mH5nhSrx+G+NER0q+OICEkrV8wN8KtQOZUQ7KeRdTxDHoQcN3KLpSXC1s7DGreKckz8+TNs/vh5KQgpVbth6T2j8MioNywGIY6Y3LC21NfUqFCvtrdhWNfm6NMuRNZncF8aIrrVMRAhaeUKUPuBbPh57oNRsgt6GZIx5QQVC7ecwd1LdiMxOV06D1tGGdreuISv1r+A6T9+As+KygTSM6FtMOzJZVje+3GUuZke/DOcX4CP/Pogcg2/S97oi6lRDbnBYY/wYNtPkIioAWAgQgBgNk9BF+BltOlcoIUHdvWHo6XgpiZLhb+sUVeU4x+HNmHrusnoml656qZcpcbyXo9i2JPLcLpphMX3B/t6YsrAdrhp5yRZQCpJYpWpUQ25wSETVYnoVsccEZLUzFOoWR9k5+kMiw9sgcpS69Xfv2JEDF765qTV96kAzPv2FJRMkrTOvoKlW97GXZer9p9JDW6BaQlTcS48CiXF5VaPMbRLGNb9fEH2ZyrRKyIEXx25bHW3YHOjGobgsOZSaR3riBCRC6mX5bvFxcWIjY3F8ePHcfToUXTt2lXW+7h8t+GQs0uuj6cbtF6V29gbGHabtSeVqMDIo9vw0t418CktBgBUQIU13Yfijb5PothDXi5LXahVgLnq99WX1u48nWFyaa6SWiByi8cRETUUDW733RdffBHNmjXD8ePH6+PjyEaWHnhydsktKClHQYnxKIS9g5BmOdfw+tZ3cPeFqr9LFwOa4oWEqTjUMtqob6C3B/SFpWZzTiwFE+Y82as17o8OQ3Z+CSZuMB9gGKZN7DGqYUhiJSJyRQ4PRLZt24YdO3bgq6++wrZt2xz9cVSNkv+TtlYt1enLRIXA30/uxJzvV8G/pGpzu0+6DcGi/k+hwNO71lue6hOOt3f9LhUfMzD8bMt+fvdHh0lBwUq1vADD2pQXEVFj5tBA5OrVqxg7diy++eYb+Pj4WO1fXFyM4uJi6eecnBxHnp5LU7KBnZx9ZupjmWiAtzu83N1wNbfYqD00LwuLE9/DwNRfqs5NG4Lp8ZPxY3iMyWOFBXhh0oB2iNT5mQwWhkQrq1liKp9DSYDBUQ0iItMcFogIITBmzBiMHz8e3bt3x/nz562+Z9GiRZg/f76jTqnRULKBXXmFsFgt1VB064fp9yIswEvRnihK6QvL0LdzCL478demdEJg6JkfsGDnBwgsypP6fREdh0OTX8GPqXlmjlSZhGqYGjEVLBxKy5IdiFhapcIAg4iobhQv3505cyZUKpXFP2fPnsV7772H3NxczJo1S/axZ82aBb1eL/25dOmS0tNr9KwFFkBVGXbAeu6HoejW4QvZspfj2koF4MdzmQCA4AI93v9mEd79bqkUhFz3DcQzj8zG9IQp+MJCEAIAH+1Lk5YDVy8U1qvtbXBTqxQVT6u+hJmIiOxL8YjItGnTMGbMGIt9IiIisHv3biQlJUGjMV7B0L17d4wcORIff/xxrfdpNJpa/UkZJXu89Gp7m6JS7MO6NseKETF4ZXOy0d4pAd7u0BfK24XWEgHgZmEpBv/+M17bvgIhBXrpte/uuAez75uAm97yVk8JANO+OA5fT3f0bhdiciRjaJcwfLgvzewxnunTBnFROuZzEBE5kOJAJDQ0FKGhoVb7vfvuu3j11Veln69cuYLBgwfjs88+Q2xsrNKPJZmUbGAHyC8R3sTfC4nJ6Vi45bRREBLk4w5hpzESbVEe5u36EA+f2iO1ZXlrMXvQBGzpcI/i4+UXl+OJNYcQ6OOBxQ93MhrRSExOx0cWgpBxfcMxa0iU4s8kIiJlHJYj0qqVcXlrPz8/AEDbtm3RokULR31soyc3sFi45Qy8Pd0wKEpnMffDkKRpWK5as092Qd1HQgCgf+qvWJz4LnR5VbvJ7mwXi1nxk3DDN6hOx75ZUIrx64/gg7+mVyxNXxl8ezwdL8Z34EgIEZGDscS7i5Gb+5CdX4IJ649g5+kMq6XEZyd0wMItlh/ctvIrLsCibe9i3ZfzpCAkR+OLVx56AbPHvFrnIKQ6Q26MnJoo1TejIyIix6m3QKRNmzYQQsiuqkq2kbtxXPXE1QF3NMWUuNsR4G28j4whSTPIV2P1wW2LXhdOIHHNJAw/sUNq29emG+57egXW394fbz7aFbMTOtjt8wzBhZK8GCIicizuNeOCBkXpZJVWNySu9lz0vVHeR6C3B57q0waTBrSHm1qFzccu2/X8vEqLMOOHj/HU4e+ktnwPL7w64B/4tMtgabe4G/nFCPG3b/KyYQmvHPVRO4WIqLFjIOKCDqVlKSqtXj0IAQB9YSne3nUOkTp/xEeH2fWBHPPnGSzdugwR2VektgMtozF9yBRcCtQZ9XVEIGCoIyInL8bcZnRERGQ/zBFxQXWdUqhZb0RJzQ1zNGUlmLl3Lb7YMEMKQorcPTF/4FgMH/6vWkFIoI8HeoQHIzu/GPbKFw0LqKp8ai0vxlTxMiIisj8GIre48gqBpNRMbD52GUmpmSivEHYZSaheb8TSg1uO6IwUfLduCsYf/ApuogIAcPmOLhgy5l2s7T4MQlX7r+HNglK8nngGEzcctWlPGFOqBxeGzeh0AcbflaniZaa+YyIisg9OzdzCzO0nMzuhg93KsRtGV8ztImuJR3kpJv38OSYmfQb3vwKQEjcP/DhyIrxmzkDWFycAC1NIq35Ms8tKnSAfDyyqUUcEkLdXjJI9e4iISDmVEKLB/u9dTk4OAgICoNfrodXKq6jZWJjbT8bwCP3HPeFY9aP5gl1e7moUlVVY/ZxPx/Y02kvFsPx1f8p1LN+TavZ9kdeVhS4+AAAgAElEQVTP480tyxB9tapPctO2mJYwFb+FtrH6uXIF+3oa5bjotBo8dlfLv0YtKku794y4zaZpFmvfMcu+ExGZpuT5zRGRBsDwcLe2g6uhX4a+EAu3nLG4n8zqn0wHIYHeHri7fQj+dyLd6nkZ8jSqM+zbYi4Pxa2iHM8e2oQpP/0XmvLKYmdlKjWW934My3s9hjI3+/6Vm53QAboAb6vfnVJyNwMcFKVjLgkRUR0wEHEyuUP/pvpZYi6N4dVhHfHatrOyjmHp8WoqDyUi80+8uWUZuqX/JrX9FtIK0xKeR7KunazPVEoX4O2Q3W+V7tlDRES2YbKqExmG/ms+8DL0RZiw/oi0e6y5fkqpAMz57pTs42QXlJqtLlp9JY1KVOCpXzdj67rJUhBSARU+iH0EQ0e/7ZAgRIWqVTCOwKJnRET1g4GIk1gb+gcqh/5Lyiqs7osilwCQlS+/vghg/kFrWEnT4mYGPv30Jcz9fhW8yipzNdKCwvC3ka9jcf+nUOzuWdfTrqU+ltiy6BkRUf3g1IyTyB36/yTpvEPKq8t1/kaB9N9GuSx+Gtz342bE/Wca3Aur+qy980G80X80Ctwd94DW1cOqFRY9IyKqHwxEnETukP6FrALrnRSqudLEko2/XMSkAe2w83SGlKOiy7mB17e9A/X5o9KQWlHzljg8dynuGDAQx1oH4fCFbFzLLUKIrwbTvjiOqzl1X0pcee4emJ3QweGrVQwjPhPWH4EKMDp3Fj0jIrIfBiJOIndIv3Wwj6LjqlXmE1UN/xc/OyEKEzfUXpZqSrq+CJM2HMG25AxACDx8ajfm7foI2uJ8qc+lR0ai5Zr30afaEq3qCZzzhkZh/Pojiq7DnOz8UkzccBQr1apaRcfkrDyypOYxBkXpTNZOqY8RGSKixoKBiJPIHfp/olcbrNibIiu3o7KQmTcmbqh86Jv7v/j46DCsVMdg5lcncbPQ+nG3JWcgNC8b/9q+HINSDkrtGX7BmBk/GSc698Ls1FzotKVGAYDhwV5cVoG/xbTAl0f+tPpZ1phaOmuPomOWjvHTjAF1DnKIiMg0FjRzIsNqGMB00GAomLXwu1NYvf+81eO983hXDOvaXPaDeX/KDYz890FThzIy5OxPeHXH+wguzJHaNnW8F/PixiHHy8+or+FzAChabmwQ6O0hKzgCKout6QtL6lx0jIXLiIjsiwXNbhHmyqbXHPqPi9LJCkQM0z3mSpcDQFJqptR2VxvLozKBhTlYuGMlHjz7o9R2wycALw+eiO239zZ5Dhn6ojpNw4yIbYX0m4X4+tgVq30z9IV4fftvdSo6xsJlRETOxUDEyeTsd3Jn6yCrCaZqFZBd7XVDBVQDc6MkQ7uE4aN9abUSMgemHMTixPcQmn9Tatt6e2+8MngisnwCzJ5HXYfX3t9rvmx8TVn5JXUuOsbCZUREzsVApAGoGTRUZwggrK1yqRDAxA1HsFJdexrB3NRDhr4IH+1Lw7N9w/Ht8XSk64vgX5yPObtW4e/Ju6R+N738MGfQBHzboS+gahijAmoV8Gd2oay+llYosXAZEZFzMRBpwMwFEJbUnEaQM/Xw7fF0/DD9XqSs34QW0/8P2hsZUp/v296FWYMn4Zp/wxoNqBDA2p/Py+praYUSC5cRETkXA5EGylIAYY6paQQ5Uw/669nIGv0Mojask9pzPb2xYOCz+KJTXIMZBTFFrQKEMD0lJKfoGAuXERE5FwORBurAH5k2V1StPo1gbUqhx6VkvLH1behuVo2C3Ii9G0NjnsYVbRObPr8+GWqm2Fp0jIXLiIici3vNNECJyemY+F/bV55Un0YwN6WgKS3GK9+vwsYNs9DaEIT4+AArVuDcJ5vsEoTU16P76T5toAswvk5dgJfsZbeG1Ut1OQYREdmGIyINjC15IQamphFMTT10vfIb3tyyDG2zqgqMibvvhmrtWqBdO1w7drlO1zCubzi6tQqyqY6ILQZF6fByQlSdio7JWb1ERET2x0CkAbElL6Q6gcrqqjUfpoapB01ZKSbv34DxB7+Cm6gAABS7eWD5wDHo+PocxLdrAaDuiZnfHk/Hi/Edaj3Ys/NLsHCLvODEME0S6OMBfUGp1fwNSyuP5LLHMYiISBkGIg2ItcRSOV76Jhk3C6oqkxoqna7v7onQSc/h9qtp0mvHwtpj2pDnkRrSEvj0OKZeL8CkAe3RIzwYOq0GGTnFNp1D9YTZmg/2wdE6LN+dgmW7frd4DF21Cq3M3yAicl0MRJyg+uZqIb4aQAXcyCvGuat5dT529SAEAG5k5eH0hOmYcuAzqMvKAAAlane802c4Puj5N5Sr3aS+y3adw6eHLmHe0CjMG9qxThVSLSXJbvzlosX3Bvt64Ifp98LTvTKFiRvPERG5LgYi9cxUhVNHaXfjIt7csgxdMs5JbWdC22BawvM43TTC5HsycoowYf0RrBwVg6lx7bFs1zmT/awxN70jZ9QnK78Uhy9kS6MpzN8gInJdDETqUV0SUZVQV5TjH798g2k/roemvHKEpEylxsqef8e7fR5HqZuH1WPM/+40fph+Lz49dAkZOfKDJmt1N2ytZMr8DSIi18RAxM6qT7tU/z/3uiaiytU6+wre3LIM3S+fkdpSgltgWsJUHG8WKesYhsJohy9kY97QKJM7BJsiJ2+DlUyJiKg6BiJ2ZG5jubkPRiHA29Oh0zEqUYEnjmzBzB/Wwae0Msm0AiqsvmsYlt7zBIo9NIqPeS23CMO6NjeZoxHoUzmqUj0nRU7eBiuZEhFRdQxE7MTSxnIT1h/B033aOOyzm+uv4fVtb6PPhRNS24VAHV4YMgW/tIy2+biGUQlzORoAFOdtsJIpERFVpxJCOHq2wGY5OTkICAiAXq+HVqt19umYVV4hcPeS3WZHPFQAgnw9kJVfavJ1mwmBR0/sxOzdq+BfUrUT7X+6JWBx/zEo8PS26bAqAE21Grz5aFfcyCu2KTnU3BSVgaXRI66EISK6tSl5fnNExA7kbCyXlV+KYF9PZOeX2CVPpEluJhYnvocBf/wqtV3RhuLlB6ZgT8suNh/XMEqRV1yOkf8+KLUrCRLkBBlcCUNERAD3mrELuStB/l/XZgDquAeLEBh6ei92rJloFIR83ikOg59erjgICfb1NPrZ27OyrkhecZlRe/pfU0yJyekWj2eYoqoZmGWYeL9hJcywrs3Rq+1tDEKIiBohjojYgdwVHoOidOgRHmxzHZHb8m/i1R3v4/7ff5barvkGYWb8c9jdrofy4/l6ImnWQBy+kI1ruUX443o+3vnefN0QgcplvYOidCaDBksrgwQqAzBL7yciosaHgUgdlVcIVFQIBHp74Gah6RyQmitB/DUeSPrjBgAVYsODcfhCNtbuT4O+qMzk+wFg8G8/47UdKxBSoJfaNnfoh7mDxuGmt235M8O6NoOnuxq92t6G8gqBu17bafU91cu31yRnisrS+4mIqPFhIGIDQyLmztMZ+ObYFWTll5jtW30lyM7TGbVGQ9Yf9KhVlr06bVEe5u/8AA+d3iu1ZXlr8cp9/8TWO+6u03UMitJJ/30oLUt2Mq2pqajyCoH9KTdsfj8RETVODEQUUlqivebmbTWnLSwFIf1Tf8GSxPfQNC9LatvevideHjwRN3yDFJ97dQFe7ki+rEdGThF0Wi9F1VNrTkUp/U5YrIyIiAwYiCigpER7oLcHVoyMQc+IyimIu5fslr1axq+4AK/s/jceP7FDasv18sWcgePwdcd7AVXd8yv0RWV4bWtV9dVgX+tl34HKvJLqxcaUfCcsVkZERDUxEJFJaYn2m4WlUKtUcFOrkJSaKXu0oNeF43hj69tokXNdarvaux9CPv0Ej5b6oH9uEc7fKMCyXb/bcBXmyZ2WWTgsWko0VfKdsFgZERGZwkBEJjm7xta0P+U6ruUW4dzVPKt9vUuKMOOHdRhz5H9SW56nN1699xkMWz4XTVuFoFe1/pE6P8zcdNLi1I69jesbjiGdq+qIKPlO5JR/JyKixoeBiEy2JFgu35Mqq9+df57G0q3LEJ5dVWMjqVUnTB8yBeWtWuO1iNorTAwFwZbvTsGKvSkoKatQfH7mBPt6GiXgBvt64NVh0RjSuZlRP7nfyaR722LqoEiOhBARUS0MRGRyRIKlpqwEU39cj2cPfQ31XxMche4aLOk3Gh/f+QCESo1xXcLMPsDd1CpMGtAOnx66qCjZ1JrZCR2gC/C2WvFU7nfSp10ogxAiIjKJgYhMd7YOqjVSUBed0s/hzS3LcHvmRantSLNITEt4HmnBzaW2j/aloVurILNTGofSsuwahACALsBbVp0P7qRLRER1xUDEAiX1QuTyKC/FpJ8/w8Skz+EuKqdTit3c8dY9o7DqrodQoXar9Z6a1UirbygnJ/9ELqWBA3fSJSKiumrUgYilHWKV1saQI/L6ebz1v7fQ8dofUtvJpm0xLWEqfg9tY/I9NauR2npeD3QOw5YT6VZXuCgNHOKjw7ByVEytc2JyKhERydFoAxFLO8QCpouP2cqtohzjDn6FKT9tgGdFZRn3UrUblvd6DCt6PYoyN+u34VpukaKaHdXptBq883g3PNA5zGwQo2R33Zq4ky4REdmqUQYi5h7oGfoijF9/BIE+HnYLQtpmXsKbW5aha3pV3Y/fQlrh+YTncUrXTvZx/riej89/vaTovAxhwLyhHeGmVhkFDBn6QmTllyDYTwOdtu6Bg2EnXSIiIiUaXSBibYdYwHLZdblUogJP//otpu/7D7zKKnNLylVqfBj7MN7uMxIl7vIqmRp8cuC87KJjBqamRxgwEBFRQ9LoAhFbCpMp1fJmBpZufRuxl5Kltj+CmuGFhKk40ryDTceUG4RMurct2jf15/QIERHdEhpdIOLQnV+FwMhj2/DSnjXwLa36nDV3DsXr/Z5EkYfjN3vr0y6UIx5ERHTLaHSBiL0KkxmWq/aMCMaBP7IQlnMdS7a9i77nj0p9LgU0xfQh/4cDrTrb5TODfT2RnV/Cmh1EROQy1M4+gfrWIzwYOq3lYETOZEaAjwcCfTxwIDUTfzu5C9tXTzQKQjZ0iUf8U+/ZJQhRoXJVy6vDok2eH2t2EBHRrarRjYjsPJ2BnCLL+RbmVqb4adzwWPeW0Hp74u1dvyMkLxurtr+HQSmHpD7pfrdh5v2T8UPEnXY53+pBRnx0GFaqWbODiIhcR6MKRBKT0zF+/RGb3++ncceM+zug3xt7kHBmHxbuWImgolzp9a863ov5ceOQ4+UHoHKzOKUrXWqqGWSwZgcREbmSRhOIGJbt1kVGTjE+33YEL/9nPh44+6PUft0nEC/FT8LO9j2lttkJHfBErza467Vd0BcqC0asrXzhElwiInIVjSYQscey3bhzB/HgyuUIyMmW2rZE9sEr9/0T2T4BRn1D/DXYffYqyioqFH8OV74QEVFj0WgCkbos29UW5WHu9x/hkeTdUlu2lz/mDBqP7zr0BVS1p0XSrufjne/PKa6EypUvRETUmDSaQMTWZbt9/ziMJdveRVheptS2q+1dmBX/HK77mQ8Y3t2tLAgx4MoXIiJqTBpNINIjPBhhAV7I0BfJChB8iwvw0t41GHksUWor8vHDK/3/gS+jB5ocBamuQmEUEujjgcUPd+LKFyIialQaTR0RN7VK2lnX2nhD7MWT2Lb2OaMg5GJMb3z8wWZ82SnOahBiixXDYxiEEBFRo9NoRkSAyqWvK0fVrsNhoCktxov7/oNnft0stRVrvPHmoH/go6j7gFOFdj8nQ15ITyanEhFRI9SoAhGgqg7Hsp2/Y/meFKm92+WzWLp1GdpmXZbaDrboiOlDpuBikGNGKlgRlYiIGrtGF4gAldM0fdqFYPmeFHiWlWLK/v9i3MFNcBOVS22L3Tzwet8nsbb7UFSo3Rx2HtYqopZXCBYuIyIil9YoAxGgMnm1X/4lzNq4GHfcuCC1Hwu7HdMSpiL1tpZ2+Ry1yjhxNdjXAw91bY64KJ3FwCIxOb3WFFIYS7kTEZGLUQkhbFllWi9ycnIQEBAAvV4PrVZrvwOXlgKLFqFi4UKoy8oAACVqd7x99wh8GPsIyu04CvL+iG4I8tUoGtVITE7HhPVHaq3uMbxr5SgmthIRUcOl5Pnt0FUzbdq0gUqlMvqzePFiR36kdUVFQO/ewNy5UhDye1hbDBv9Ft7v9SjK1W4I9Paw28ep/yrHPqxrc/Rqe5vVIMRQit5UdGhom//daZQrXR9MRETUADl8ambBggUYO3as9LO/v7+jP9IyLy8gNhb49VfAzQ2YNQttX34Fcy7nSaMWFUJg5L8P1vmjVKgMGgZF6WTndlgrRS8ApOuLcCgti2XgiYjolufwQMTf3x86nc7RH6PMkiXAhQvAnDnAXXfBDUCvtpqq5NCcIvh7uSO3qKxOH2NL0CC3FH1dStYTERE1FA4PRBYvXoyFCxeiVatWGDFiBKZOnQp3d9MfW1xcjOLiYunnnJwcx5yUry/w3XdGTaaSQ+1FSdAgtxS9rSXriYiIGhKHBiKTJ09GTEwMgoOD8fPPP2PWrFlIT0/HW2+9ZbL/okWLMH/+fEeekknmkkOt+VtMc3x55LLVfkqCBmul6LkxHhERuRLFq2ZmzpyJJUuWWOxz5swZ3HHHHbXa16xZg3HjxiEvLw8ajabW66ZGRFq2bGn/VTPVlJRVoOei75GVX2K2j0oFVP+WAr098FSfNpjQvx36vbHHatDw04wBiup/GAIjAEbH5aoZIiK6FShZNaM4ELl+/ToyMzMt9omIiICnp2et9lOnTiE6Ohpnz55FZGSk1c9y2PLdvyQmp+Olr08iK7/Uat+/xTTHrjPXcLOwqm9YgBeGdgnDR/vSANg3aGAdESIiulUpeX4rnpoJDQ1FaGioTSd27NgxqNVqNGnSxKb325PS6RhTUzAZ+iJ8tC8Nz/YNx7fH042CBmtVU60xlKJnZVUiInJlDssRSUpKwsGDB3HvvffC398fSUlJmDp1KkaNGoWgoCBHfawslmp1KCFQOfLx7fF0/DD9Xhy+kG3XoMHtrxokRERErsphgYhGo8HGjRsxb948FBcXIzw8HFOnTsXzzz/vqI+UzVqtDiUMS3QPX8hm0EBERKSQwwKRmJgYHDhwwFGHrxNH1OCofkxuVkdERCRPo9z07vyNfLsf07BEl0mmRERE8jl0r5mGKDE5Hct2nbPb8VSoDDR6hAdLCbA1p30y9EWYsP4IEpPT7fa5RERErqBRBSKGJFV7MUy2zH0wCgC4WR0REZFCjSoQsWeSKlC5RNdQJ0TJZnVERERUqVHliNgjSTXY1wOzH+gIndY4CZWb1RERESnXqAIRe2wU96+HOplMOuVmdURERMo1qqkZw4ZytiykVauA90eYL9du7djVk1qJiIioUqMKRNzUKimxVGkwsnx4NwzpbH75raVjV09qZT0RIiKiKo0qEAEq93BZOSoGugDjKZKwAC+M6xuOMBPtH4yKwZDOzWw+dvWkViIiIqqiePfd+uTI3XfNVT+1R1VUVlYlIqLGzKG777oKcxvK2WOjOW5WR0REJE+jm5ohIiKihoOBCBERETkNAxEiIiJyGgYiRERE5DQMRIiIiMhpGIgQERGR0zAQISIiIqdhIEJEREROw0CEiIiInKZBV1Y1VJ/Pyclx8pkQERGRXIbntpxdZBp0IJKbmwsAaNmypZPPhIiIiJTKzc1FQECAxT4NetO7iooKXLlyBf7+/lCp7LtpXE5ODlq2bIlLly7ZfUO9hoDXd+tz9Wt09esDXP8aeX23PkddoxACubm5aNasGdRqy1kgDXpERK1Wo0WLFg79DK1W67J/wQBenytw9Wt09esDXP8aeX23Pkdco7WREAMmqxIREZHTMBAhIiIip3GbN2/ePGefhLO4ubmhf//+cHdv0DNUNuP13fpc/Rpd/foA179GXt+tz9nX2KCTVYmIiMi1cWqGiIiInIaBCBERETkNAxEiIiJyGgYiRERE5DQMRIiIiMhpXDYQee2119C7d2/4+PggMDBQ1nuEEJgzZw7CwsLg7e2NuLg4nDt3zqhPVlYWRo4cCa1Wi8DAQDzzzDPIy8tzxCVYpPQ8zp8/D5VKZfLPF198IfUz9frGjRvr45JqseW77t+/f63zHz9+vFGfixcvIiEhAT4+PmjSpAmmT5+OsrIyR16KSUqvLysrC8899xwiIyPh7e2NVq1aYfLkydDr9Ub9nHkPV6xYgTZt2sDLywuxsbE4dOiQxf5ffPEF7rjjDnh5eaFTp07YunWr0etyfifrk5LrW7VqFe655x4EBQUhKCgIcXFxtfqPGTOm1r2Kj4939GVYpOQa161bV+v8vby8jPrcyvfQ1L8nKpUKCQkJUp+GdA/37duHBx98EM2aNYNKpcI333xj9T179+5FTEwMNBoN2rVrh3Xr1tXqo/T3WjHhoubMmSPeeust8fzzz4uAgABZ71m8eLEICAgQ33zzjTh+/LgYOnSoCA8PF4WFhVKf+Ph40aVLF3HgwAHx448/inbt2onhw4c76jLMUnoeZWVlIj093ejP/PnzhZ+fn8jNzZX6ARBr16416lf9+uuTLd91v379xNixY43OX6/XS6+XlZWJ6OhoERcXJ44ePSq2bt0qQkJCxKxZsxx9ObUovb6TJ0+Khx9+WHz77bciJSVFfP/996J9+/bikUceMernrHu4ceNG4enpKdasWSNOnTolxo4dKwIDA8XVq1dN9t+/f79wc3MTr7/+ujh9+rR45ZVXhIeHhzh58qTUR87vZH1Ren0jRowQK1asEEePHhVnzpwRY8aMEQEBAeLPP/+U+owePVrEx8cb3ausrKz6uqRalF7j2rVrhVarNTr/jIwMoz638j3MzMw0urbk5GTh5uYm1q5dK/VpSPdw69at4uWXXxabNm0SAMTXX39tsf8ff/whfHx8xPPPPy9Onz4t3nvvPeHm5iYSExOlPkq/M1u4bCBisHbtWlmBSEVFhdDpdOKNN96Q2m7evCk0Go349NNPhRBCnD59WgAQv/zyi9Rn27ZtQqVSicuXL9v/5M2w13l07dpVPP3000Ztcv7y1gdbr7Ffv37i//7v/8y+vnXrVqFWq43+sVy5cqXQarWiuLjYPicvg73u4eeffy48PT1FaWmp1Oase9ijRw8xceJE6efy8nLRrFkzsWjRIpP9H330UZGQkGDUFhsbK8aNGyeEkPc7WZ+UXl9NZWVlwt/fX3z88cdS2+jRo8WwYcPsfq62UnqN1v59dbV7uGzZMuHv7y/y8vKktoZ2Dw3k/Dvw4osvio4dOxq1PfbYY2Lw4MHSz3X9zuRw2akZpdLS0pCRkYG4uDipLSAgALGxsUhKSgIAJCUlITAwEN27d5f6xMXFQa1W4+DBg/V2rvY4j8OHD+PYsWN45plnar02ceJEhISEoEePHlizZg2EE2re1eUa//vf/yIkJATR0dGYNWsWCgoKjI7bqVMnNG3aVGobPHgwcnJycOrUKftfiBn2+ruk1+uh1WprVUSs73tYUlKCw4cPG/3+qNVqxMXFSb8/NSUlJRn1ByrvhaG/nN/J+mLL9dVUUFCA0tJSBAcHG7Xv3bsXTZo0QWRkJCZMmIDMzEy7nrtctl5jXl4eWrdujZYtW2LYsGFGv0eudg9Xr16Nxx9/HL6+vkbtDeUeKmXtd9Ae35kcrluzVqGMjAwAMHpAGX42vJaRkYEmTZoYve7u7o7g4GCpT32wx3msXr0aHTp0QO/evY3aFyxYgAEDBsDHxwc7duzAP//5T+Tl5WHy5Ml2O385bL3GESNGoHXr1mjWrBlOnDiBGTNm4LfffsOmTZuk45q6x4bX6os97uGNGzewcOFCPPvss0btzriHN27cQHl5ucnv9uzZsybfY+5eVP99M7SZ61NfbLm+mmbMmIFmzZoZ/aMeHx+Phx9+GOHh4UhNTcVLL72E+++/H0lJSXBzc7PrNVhjyzVGRkZizZo16Ny5M/R6PZYuXYrevXvj1KlTaNGihUvdw0OHDiE5ORmrV682am9I91Apc7+DOTk5KCwsRHZ2dp3/3stxSwUiM2fOxJIlSyz2OXPmDO644456OiP7knt9dVVYWIgNGzZg9uzZtV6r3tatWzfk5+fjjTfesNtDzNHXWP2h3KlTJ4SFhWHgwIFITU1F27ZtbT6uXPV1D3NycpCQkICoqCjU3C7K0feQlFu8eDE2btyIvXv3GiVzPv7449J/d+rUCZ07d0bbtm2xd+9eDBw40BmnqkivXr3Qq1cv6efevXujQ4cO+PDDD7Fw4UInnpn9rV69Gp06dUKPHj2M2m/1e9gQ3FKByLRp0zBmzBiLfSIiImw6tk6nAwBcvXoVYWFhUvvVq1fRtWtXqc+1a9eM3ldWVoasrCzp/XUh9/rqeh5ffvklCgoK8OSTT1rtGxsbi4ULF6K4uBgajcZqf2vq6xoNYmNjAQApKSlo27YtdDpdrYzvq1evAsAtcw9zc3MRHx8Pf39/fP311/Dw8LDY39730JSQkBC4ublJ36XB1atXzV6PTqez2F/O72R9seX6DJYuXYrFixdj165d6Ny5s8W+ERERCAkJQUpKSr0/xOpyjQYeHh7o1q0bUlJSALjOPczPz8fGjRuxYMECq5/jzHuolLnfQa1WC29vb7i5udX574Qsdss2aaCUJqsuXbpUatPr9SaTVX/99Vepz/bt252WrGrrefTr16/WSgtzXn31VREUFGTzudrKXt/1Tz/9JACI48ePCyGqklWrZ3x/+OGHQqvViqKiIvtdgBW2Xp9erxc9e/YU/fr1E/n5+bI+q77uYY8ePcSkSZOkn8vLy0Xz5s0tJqs+8MADRm29evWqlaxq6XeyPim9PiGEWLJkidBqtSIpKUnWZ1y6dEmoVCqxefPmOp+vLWy5xurKyspEZGSkmDp1qhDCNe6hENDN6VUAAAOoSURBVJXPEY1GI27cuGH1M5x9Dw0gM1k1OjraqG348OG1klXr8ndC1rna7UgNzIULF8TRo0elJapHjx4VR48eNVqqGhkZKTZt2iT9vHjxYhEYGCg2b94sTpw4IYYNG2Zy+W63bt3EwYMHxU8//STat2/vtOW7ls7jzz//FJGRkeLgwYNG7zt37pxQqVRi27ZttY757bffilWrVomTJ0+Kc+fOiffff1/4+PiIOXPmOPx6TFF6jSkpKWLBggXi119/FWlpaWLz5s0iIiJC9O3bV3qPYfnufffdJ44dOyYSExNFaGio05bvKrk+vV4vYmNjRadOnURKSorRcsGysjIhhHPv4caNG4VGoxHr1q0Tp0+fFs8++6wIDAyUVig98cQTYubMmVL//fv3C3d3d7F06VJx5swZMXfuXJPLd639TtYXpde3ePFi4enpKb788kuje2X4Nyg3N1e88MILIikpSaSlpYldu3aJmJgY0b59+3oNiutyjfPnzxfbt28Xqamp4vDhw+Lxxx8XXl5e4tSpU1KfW/keGtx9993iscceq9Xe0O5hbm6u9KwDIN566y1x9OhRceHCBSGEEDNnzhRPPPGE1N+wfHf69OnizJkzYsWKFSaX71r6zuzBZQOR0aNHCwC1/uzZs0fqg7/qLRhUVFSI2bNni6ZNmwqNRiMGDhwofvvtN6PjZmZmiuHDhws/Pz+h1WrFU089ZRTc1Bdr55GWllbreoUQYtasWaJly5aivLy81jG3bdsmunbtKvz8/ISvr6/o0qWL+OCDD0z2rQ9Kr/HixYuib9++Ijg4WGg0GtGuXTsxffp0ozoiQghx/vx5cf/99wtvb28REhIipk2bZrT8tb4ovb49e/aY/DsNQKSlpQkhnH8P33vvPdGqVSvh6ekpevToIQ4cOCC91q9fPzF69Gij/p9//rm4/fbbhaenp+jYsaPYsmWL0etyfifrk5Lra926tcl7NXfuXCGEEAUFBeK+++4ToaGhwsPDQ7Ru3VqMHTvWrv/A20LJNU6ZMkXq27RpUzFkyBBx5MgRo+PdyvdQCCHOnj0rAIgdO3bUOlZDu4fm/o0wXNPo0aNFv379ar2na9euwtPTU0RERBg9Ew0sfWf2oBLCCWsziYiIiODCJd6JiIio4WMgQkRERE7DQISIiIichoEIEREROQ0DESIiInIaBiJERETkNAxEiIiIyGkYiBAREZHTMBAhIiIip2EgQkRERE7DQISIiIic5v8DYnMhgRsmQSEAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wl1Xnjo7quL_"
      },
      "source": [
        "X_test , y_test = datamaker(50,0.2)\n",
        "\n",
        "X_test = X_test[:,np.newaxis]"
      ],
      "execution_count": 48,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 470
        },
        "id": "MNytRr5YtQ7o",
        "outputId": "8f8ecef6-f90d-4511-b124-f4c5c681b71e"
      },
      "source": [
        "plt.scatter(X_test, y_test)\n",
        "plt.plot(X_test , model.predict(X_test) , c='red')\n",
        "\n",
        "plt.title('Testing performance')"
      ],
      "execution_count": 50,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Testing performance')"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 50
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Z4C_8Us9tVNV",
        "outputId": "1ef31dd7-46b7-4dec-b96d-c46ae8ee9c8e"
      },
      "source": [
        "model.coef_"
      ],
      "execution_count": 51,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([1.96980192])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 51
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "cTQy5-q5uPD7",
        "outputId": "cd5ea636-4c23-4bb7-b7a3-ce3ef90e50df"
      },
      "source": [
        "model.intercept_"
      ],
      "execution_count": 52,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "-2.9893507783733018"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 52
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cjAXF9DJuRmU"
      },
      "source": [
        "# 2 X - 3"
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}